Finding the Third Proportional to 101,844 and 149,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,844 : 149,809.50 = 149,809.50 : x
2. Step 2: Convert to fraction form
   101,844/149,809.50 = 149,809.50/x
3. Step 3: Cross multiply
   101,844x = 149,809.50 × 149,809.50
4. Step 4: Simplify right side
   101,844x = 22,442,886,290.25
5. Step 5: Solve for x
   x = 22,442,886,290.25/101,844
6. Step 6: Final answer
   x = 220,365.33